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230350311121401 = 32137397470581901
BaseRepresentation
bin110100011000000010011100…
…011101111110000111111001
31010012121021102020111121202100
4310120002130131332013321
5220143024414121341101
62133525245543454013
766343155306301542
oct6430023435760771
91105537366447670
10230350311121401
1167440022453879
1221a03525157309
139b6bc3088c643
1440c502bcad4c9
151b96e18375e86
hexd1809c77e1f9

230350311121401 has 24 divisors (see below), whose sum is σ = 336001125010824. Its totient is φ = 152061952838400.

The previous prime is 230350311121387. The next prime is 230350311121451. The reversal of 230350311121401 is 104121113053032.

230350311121401 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 503 + 1 + 1 + 12 + 140 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29597571333225 + 200752739788176 = 5440365^2 + 14168724^2 .

It is not a de Polignac number, because 230350311121401 - 227 = 230350176903673 is a prime.

It is a super-2 number, since 2×2303503111214012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230350311121451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234801450 + ... + 235780451.

It is an arithmetic number, because the mean of its divisors is an integer number (14000046875451).

Almost surely, 2230350311121401 is an apocalyptic number.

It is an amenable number.

230350311121401 is a deficient number, since it is larger than the sum of its proper divisors (105650813889423).

230350311121401 is a wasteful number, since it uses less digits than its factorization.

230350311121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470582441 (or 470582438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 230350311121401 its reverse (104121113053032), we get a palindrome (334471424174433).

The spelling of 230350311121401 in words is "two hundred thirty trillion, three hundred fifty billion, three hundred eleven million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 137 397 411 1191 1233 3573 54389 163167 489501 470581901 1411745703 4235237109 64469720437 186821014697 193409161311 560463044091 580227483933 1681389132273 25594479013489 76783437040467 230350311121401